Finding the Third Proportional to 10,698 and 25,771

Step by Step Solution

1. Step 1: Write the proportion equation
   10,698 : 25,771 = 25,771 : x
2. Step 2: Convert to fraction form
   10,698/25,771 = 25,771/x
3. Step 3: Cross multiply
   10,698x = 25,771 × 25,771
4. Step 4: Simplify right side
   10,698x = 664,144,441
5. Step 5: Solve for x
   x = 664,144,441/10,698
6. Step 6: Final answer
   x = 62,081.18